References
H. Bauer, Sur l'equivalence des théories de l'integration selon N. Bourbaki et selon M. H. Stone. Bull. Soc. Math. France85, 51–75 (1975).
M.Diaz Carrillo, Prolongatión de un funcional de Loomis no negativo y medidas finitamente aditivas. Tésis doctorales de la Universidad de Granada, no. 370 (1981).
N.Dunford and J. T.Schwarz, Linear operators. Part. I. New York 1963.
G. G. Gould, The Daniell-Bourbaki integral for finitely additive measures. Proc. London Math. Soc. (3)16, 297–320 (1966).
E.Hewitt and K.Stromberg, Real and abstract analysis. Berlin-Heidelberg-New York 1969.
L. H. Loomis, Linear functionals and content. Amer. J. Math.76, 168–182 (1954).
W.Pfeffer, Integral and measure. New York-Basel 1976.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Guerrero, P.B., Carrillo, M.D. Summable and integrable functions with respect to any Loomis system. Arch. Math 49, 245–256 (1987). https://doi.org/10.1007/BF01271664
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF01271664